MHT CET 2025 Mathematics question

A coin is tossed until one head appears or a tail appears 4 times in succession. The probability distribution of the number of tosses is

(A)X: 1, 2, 3, 4 and P(X = x): , , ,
(B)X: 1, 2, 3, 4 and P(X = x): , , ,
(C)X: 1, 2, 3, 4 and P(X = x): , , ,
(D)X: 1, 2, 3, 4 and P(X = x): , , , Correct

Answer: (D)

Solution

The process stops at the first head or after four tails in a row, so . : head on the first toss, . : TH, . : TTH, . : either TTTH or TTTT (the process stops after four tails),

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Question ID VK-102300